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Finding the Fourth Proportional to 14,084.02, 21,137.58 and 5,764.12

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Solution

The fourth proportional to 14,084.02, 21,137.58 and 5,764.12 is: 8,650.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,084.02 : 21,137.58 = 5,764.12 : x
  2. Step 2: Convert to fraction form
    14,084.02/21,137.58 = 5,764.12/x
  3. Step 3: Cross multiply
    14,084.02x = 21,137.58 × 5,764.12
  4. Step 4: Simplify right side
    14,084.02x = 121,839,494.79
  5. Step 5: Solve for x
    x = 121,839,494.79/14,084.02
  6. Step 6: Final answer
    x = 8,650.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.